# Pre- Calculus

21,894 results, page 91
1. ## Calculus

Find the specific solution of the differential equation dy/dx= 4y/x^2 with condition y(-4) = e.
2. ## Differential Calculus

(1) lim x^3 - 125/x5 x^2 - 25 (2)find the inverse of the function f(x)=7x+5
3. ## Calculus

I am having a mental block. I have the answer to the question. It is (-‡,‡). I just need help figuring it out. The equation is: x^2+1>0
4. ## Calculus

f(x) = [3/x^2] - [5/x^7], F(x) is the antiderivative of f(x) with F(1)=0. F(x) = ? I have no idea how to approach this problem. The fractions are scaring me.
5. ## Calculus

t 0 3 6 9 12 v(t) 32 35 37 38 41 Using the chart above, find an upper estimate for the distance traveled using n=2 and n=4
6. ## calculus

How do I find the area bounded by the curve y = x^1/2 + 2, the x-axis, and the lines x = 1 and x = 4
7. ## calculus

if the area of a triangle with the base 2F and height F-2 is equal to F, compute F.
8. ## Math (Calculus AB)

An equation to the graph of y=x^3+3x^2+2 at its point of inflection is: a) y=-3x+1 b)y=-3x-7 c)y=x+5 d)y=3x+1 e)y=3x+7 Please help. I am in urgent need.
9. ## calculus

Express as a single logarithm ln(a)+1/2ln(b) 2ln4-ln2
10. ## Further maths

Under differential calculus using the product rule find the derivative of (2x+3)^3(4x^2-1)^2
11. ## calculus

1 pt) Find the length of the curve defined by y=1/8(x^2−8ln(x)) from x=3 to x=5
12. ## Calculus question ?

Are there any horizontal asymptote on a ln natural log function
13. ## calculus

Locate all critical points ( both types ) of f(x)=sqrt(-58-4x^2+32x) Thanks
14. ## calculus

find an equation of the curve that passes through the point (1,1) and whose slope at (x,y) is y^2/x^3
15. ## Calculus

Find the area of the region bounded by: r=7-1sin(theta)
16. ## Calculus (Thanks a bunch!)

Simplify the following expression 5lnx - 1/2 lny + 3 lnz
17. ## calculus

Use a linear approximation (or differentials) to estimate the given number (2.001)^5
18. ## calculus

Use a linear approximation (or differentials) to estimate the given number (2.001)^5
19. ## AP Calculus

True or False If f'(c)=0=f''(c)is less than 0, the f(c) is a local maximum. Justify your answer.
20. ## Calculus

Let f(x)=ax^2+(3a−2)x−6. What point does the right-hand x- intercept approach as a increases without bound?
21. ## calculus

find the general solution x^2-2(e^y)dy/dx = y^3+e(x^2) i am getting the y^3 dx when i do seperation of variables how do i deal with this.
22. ## calculus

find the lim x->0 (e^(-x) -1) / (1-e^x) i did this using a table and the found the limit but is there a way to do this algebraically
23. ## Calculus

For which pair of functions f(x) and g(x) below will the lim(x->infinity) f(x)g(x)≠0 a)f(x) = 10x + e^-x; g(x) = (1/5x) b)f(x) = x^2; g(x) = e^-4x c)f(x) = (Lnx)^3; g(x) = 1/x d)f(x) = √x; g(x) = e^-x
24. ## calculus

how do you solve the initial value problem by using separation of variables dy/dx=1+x/(sqrt of y), y(2)=9
25. ## calculus

n(x)=x^5+xe^x, find the real zeroes using newton-raphson methodology.
26. ## Calculus

How many zeros are at the end of the product of the first fifty positive integers?
27. ## calculus

find the absolute maximum and minimum values of f on the given interval f(x)= (x^2-4)/(x^2+4), [-4, 4]
28. ## Calculus

Use the quotient rule to find f'(x): f(x) = [(x+4)(x-5)]/[2x(x+3)] For the first part...do I put them together? Can someone please complete this.
29. ## calculus

Express as a single logarithm ln(a)+1/2ln(b) 2ln4-ln2
30. ## Grammar

Is the sentence below correct? “What edition is your Calculus For Dummies textbook?” Do I use “what” or “which”?
31. ## Calculus

Integrate the following: sin^3 x/cosx Have attempted numerous ways but can't get anything sensible to come out of it.
32. ## calculus

find the intervals on which the function is increasing, decreasing, or constant. (-7,2)(-6,2)(-5,2)(-4,2)(-3,2)(-2,2)(-1,2)(1,3)(3,4)(5,5)
33. ## calculus

Concept of FUNCTION (with atleast two examples) in every day life
34. ## Calculus

Using the definition of the derivative, find the equation of the tangent line to y=2x-1/2 at (1/2,-1) Thanks!!
35. ## calculus

If f(x)=x^3. Yhe equation of the tangent line to f(x) at x=4 is y=? Using this, we find our approximation for 3.8^3 is ?
36. ## AP Calculus

A line is perpendicular to 2x+y-7=0 and passes through (4,6). Find the y coordinate of the point where x=-8
37. ## Calculus 1

Find the linear approximation of the function g(x)=cube root(1+x) at a=0.
38. ## Calculus

Find all values of c that satisfy the Mean Value Theorem for integrals for f(x)= x^{2} on the interval [-3, 3]
39. ## calculus

Use an appropriate local linear approximation to estimate the value of cotangent 44 degrees.
40. ## calculus

How long will it take an investment that pays 5% compunded annually to double in value?
41. ## calculus

find the volume formed by revolving the parabola y=4-x^2 in the first quadrant: a.) about x=0 b.) about x=2
42. ## calculus

Find two numbers whose product is 16 and whose sum of squares is minimum
43. ## differential calculus

use the product rule to find the derivatives of the given function y=(3x^2-8)^2
44. ## Calculus

Locate the absolute extrema of the function on the closed interval f(x) = 2(3-x) [-1,2]
45. ## calculus

write a power series for e to the 2x and find the interval of convergence
46. ## calculus

what is the equation of the tangent line to the curve x^3 + 2y^2 + 3xy = 6 at the point (1,1)?
47. ## calculus

evaluate the limit as x approaches positive and negative infinity (x^2+6x+8)/(x+3)^2
48. ## calculus

Find the volume formed by rotating the region enclosed by: x=5y and y3=x with y0
49. ## Proctology

Hi, I am an 11th grade student beginning to look into some college options. I am interested in pursuing a career in proctology and have been reading some preliminary books on the topic. Can anyone recommend a college or pre-med program that would offer a
50. ## Pre calc 12 urgent help pls!

Radioisotopes are used to diagnoa various illnesses. Iodine-131 is adminsitred to diagnoaw thyriod gland activity. Original dosage contains 280 MBq of Iodine-131. If. One is lost from body then after 6h, there r 274 MBq. What is half life of I-131 to the
51. ## Pre-Algebra

I need help on a word problem because it doesn't have enough numbers to work with. So here it is: There are 19 animals in the barn. Some are geese and some are oxen. There are 56 legs in all. How many of each animal are there? So, for the first equation, I
52. ## Pre geometry

The cross country bike trail follows a straight line where it crossess 350th and 360th streets. The twonstreets are parallell to each other. What is the measure of the larger angle formed at the intersection of the bike trail and 360th street. explain only
53. ## pre algebra Is it A,B,C or D?

Rodney flips a fair coin and chooses a letter tile A, E, I, O AND U. He performs this experiment 50 times to determine the experimental probability that heads is tossed and the letter A is chosen. Which of the following is most likely to be the
54. ## pre-algebra

a local newspaper can be ordered for delivery on weekdays or sundays. a weekday paper is 35 cents and the sunday edition is \$1.50. the stadles ordered delivery of the weekday papers.the month of march had 23 weekdays and april had 20. how mach should the
55. ## Pre calc

A cylinder shaped can needs to be constructed to hold 1000 cubic centimeters of soup. The material for the sides of the can costs 0.1 cents per square centimeter. The material for the top is.2 and the bottom is .3 cents per square centimeter. Find the
56. ## pre algerba

Tom was engrossed in his 340 page book. He stopped on page 127 at noon to eat lunch. He stopped on page 253 to eat dinner. How many pages did tom read during the afternoon
57. ## pre-alg

I need help to create an addition word problem and a subtraction word problem using fractions. I need to show how to find the solution to each problem. Once I find the solutions to my problems, I have to rewrite the solutions as either a terminating or
58. ## Pre Calc

Write an equation to a polynomial function that has the following properties: Fourth degree equation Lead coefficient is -2 Two negative real roots and one positive real root The positive real root has multiplicity of 2
59. ## Pre-algebra

If m is the number of minutes a taxi ride lasts, then 2 + 0.35m can be used to find the cost of a taxi ride with Bill's Taxi Company. How much will it cost for a 12-min taxi ride? I don't understand how to calculate this, thank you!
60. ## pre algebra

train A leaves a station at 1:15 PM,traveling 60 mph.Train B leaves the same station, in the same direction as train A,15 minutes later.If train B travels 90mphm when (clock time)will train B catch up to train A and how far down the track does this occur?
61. ## Pre-Cal

Two airplanes take off from an airport at the same time. One travels on a heading of 45 at 420 mph and the other on a heading of 150 at 400 mph. After two hours, how far apart are the airplanes? A.650.66 miles B.1,160 miles C.1,301 miles
62. ## Pre-calculas

A conical tank of radius R=19 feet and height of H=16 feet is being filled with water at a rate of 9ft 3 /min . (a) Express the height h of the water in the tank, in feet, as a function of time t in minutes
63. ## Pre-Algebra

Can U Just Check My Answer Please! Thank You Guys :D Complete the sentence below. Scatter plots are used to look for a pattern of association, or trend, between ____________ A) one set of values. B) two sets of values. C) three sets of values. D) four sets
64. ## pre-algebra

You want to paint a wall that is 8 3/4 feet high and 11 1/4 feet long. You have a can of paint that will cover 200 square feet with one coat. A. find the area of the wall. b. if you want to apply two coats of paint , do you have enough paint? explain
65. ## pre calc

it takes my father 3 hours to plow our cornfield with his new tractor using the old tractor it takes me 5 hours. if we both plow for 1 hour before i go to school, how long will it take dad to finish the plowing. I got 2.5 hours but i think that is totally
66. ## Pre-Algebra

Can U Just Check My Answer Please! Thank You Guys :D Complete the sentence below. Scatter plots are used to look for a pattern of association, or trend, between ____________ A) one set of values. B) two sets of values. C) three sets of values. D) four sets
67. ## Pre Cal

Two tracking stations are on the equator 158 miles apart. A weather balloon is located on a bearing of N 41degrees E from the western station and on a bearing of N 21degrees E from the eastern station. How far is the balloon from the western station.
68. ## Management

The administrator of the Life-Time Insurance Com¬pany HMO, Ms. Taylor, was anxious to solve poten-tial problems before their new clinic opened in Austin, Texas. In Buffalo, New York, where the original clinic is located, the pharmacy had been extremely
69. ## pre-algebra

I need to figure out how to convert 11inches to the actual length of 550 to scale. Please help 550 what? miles? feet? inches? If you want 550 of some length unit to be represented as 11 inches on a map or scale drawing, divide all lengths by 50.
70. ## pre ap math

a toy rocket is launched from a platform that is 48 feet high. the rockets height above the ground is modeled by h=-16t^2+32t+43. find the maximum height of the rocket find the time it will take for the rocket to reach the ground.
71. ## pre cal

A toy rocket is launched straight up from the roof of a garage with an initial velocity of 56 feet per second. The height h of the rocket in feet, at t seconds after it was launched, is described by h(t)=−16t2+56t+17. Find the maximum height of the
72. ## pre algerbra

an investment earns 7.5% interest in one year. if the money is withdrawn before th year is up, the interest is protrated so that a proportional amount of the interest is paid out. if \$1960 is invested, what is the total amount that can be withdrawn when
73. ## Pre.Calc

You want to make an investment in a continuously compounding account over a period of ten years. What interest rate is required for your investment to double in that time period? Round the logarithm value to the nearest hundredth and the answer to the
74. ## pre-algebra

Which of the following does NOT represent a domain? ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ A) The total number of oranges Andre has from buying bags of oranges at the store B) The number of minutes that have passed while reading pages from a book C) How many
75. ## pre calc 12

During intermission, at a hockey game, small foam hockey pucks are launched from a height. How long is a puck in the air if a student in the stands catches it on its way down 12m above ice lvl? The model for the vertical motion of the puck can be
76. ## Pre-Algebra

A Jet airplane leaves an airport traveling at a steady rate of 600km/h. another jet leaves the same airport 3/4h later traveling at 800km/h in the same derection. how long will the 2nd jet take to overtake the first?
77. ## pre calc

A jeweler wants to make a 1 ounce ring composed of gold and silver, using \$200 worth of metal. If gold costs \$6000 per ounce and silver is \$50 per ounce, how much of eat metal should she use?
78. ## Pre-cal

Sketech the graph of the equation y^2+4y+2x+10=0. Identify the vertex, the focus and the equation for the directrix. Use the completing the square to put the equation into standard form as your first step. This is what I did. y^2 + 4y = -2x-10 y^2 + 4y + 4
79. ## Pre Algebra

During a sale, the regular price of a CD was reduced by \$3. Let p represent the regular price of the CD. Write an algebraic expression that represents the sale price. Having trouble with this one, don't quite understand how to write it as an equation
80. ## English

Hello! Can you recommend me any poem or a short story ( really short) which I can do with my class? ( 19 year olds, learning English as a foreign language)I need to have one pre-reading activity, one while-reading and one post-reading activity. Thank you
81. ## Pre calc

sin(θ − ϕ); tan(θ) = 5/12 θ in Quadrant III, sin(ϕ) = − sqaure root10/10 ϕ in Quadrant IV. I used the sin equation sin(a)cos(b)-sin(a)cos(b) However I am still getting the wrong answer
82. ## pre algebra

the hundreds digit is half the tens digit the sum of the hundreds and tens digit is 12 the ones digit is an odd square number not equal to the thousands digit
83. ## pre algebra

all 500 students at robinson junior high were surveyed to find their favorite sport how many more students played baseball than soccer soccer is 10% basketball is 27% football is 38% baseball is 25% a. 50 students b. 175 students c. 75 students d. 125
84. ## Pre-Algebra-math

Mr.Jones bought 20 yards of fencing to make a pen for his dog, the pen will be in a retangle shape fencing comes in 1-yard sections,he want the biggest space possible for his dog to run. What are the dimensions of the maximum space of the pen he can get??
85. ## pre calc

You ingest a certain dangerous bacteria at dinner by accident. When more than 1,000,000 of these organisms are in your gut, you will become violently ill. Their population doubles every 20 minutes. You ate dinner at 7pm and by 5am you are sick. At least

1. Find a polynomial with a zero at 3 and a zero of multiplicity 2 at -1. My answer: x^3 - x^2 - 5x - 3 = 0 2. Find the zeros and multiplicities of f(x) = x^5 - 16x^4 + 64x^3. My answer: x = 0 of multiplicity 3 and x = 8 of multiplicity 2.
87. ## Pre-Calc

1.) Suppose that y varies directly as x. If y is 5 when x is 30, the constant of variation is 150. True Or False 2.) If w varies directly as z and w = 9 when z = -6, find w when z = 3. 3.) If y varies directly as x and y = 2 when x = 4, find x when y = 4.
88. ## Pre-Calc

A hot-air balloon is floating above a straight road. To estimate their height above the ground, the balloonists simultaneously measure the angle of depression to two consecutive mileposts on the road on the same side of the balloon. The angles of
89. ## Pre-Calc

A rectangular package to be sent by a delivery service can have a maximum combined length and girth (perimeter of a cross section) of 120 inches. a. Show that the volume of the package is V(x)= 4xsquared(30-x) b. Use your graphing calculator to find the
90. ## Pre-Calc

A company that produces portable cassette players estimates that the profit P (in dollars) for selling a particular model is P=-76x^3+4830x^2-320000, 0 is less than or equal to x is less than or equal to 50, where x is the ad expense (in tens of thousands
91. ## Pre-Algebra

Find each product or quotient. express using exponents 4. Neutral water has a pH of 7. Each one-unit decrease i the pH means that the solution is 10 times more acidic. How much more acidic vinegar is than baking soda if vinegar has a ph of 3 and baking
92. ## Pre-Calc

An open gift box is to be made from a square piece of material by cutting four-centimeter squares from each corner and turning up the sides (see figure). The volume of the finished gift box is to be 324 cubic centimeters. Find the size of the original
93. ## pre algebra

Each side of the triangle shown has the same length. If the perimeter of the triangle is 49 inches, the length of each side is 3 inches. true or false
94. ## Pre Cal Check

focus: (0,p) vertex: if not given, then it is assumed (0,0) Directrix: k+p or k-p, i'm not sure I think these are the general equations for the focus, vertex, and directrix of a parabola, but i'm not sure. could someone please check this? thanks.
95. ## pre algebra

Ryan is thinking of a number. When he multiplies this number by 6 and then subtracts 15 from the answer, he ends up with his original number. What number is Ryan thinking of?
96. ## Pre-Calc

1. Calculate the period of sin(3x), cos(3x), and tan(3x). 2. Calculate the period of sin(x), tan(x), sin2(x) and tan2(x). Please explain, thank you :)
97. ## pre-algebra

I have two questions about finding the slope of a line. First question: Is the formula Y2-Y1 over X2-X1? Second question: When I am given a line on a graph, how do I find Y1, Y2, X1, X2 to use in finding the slope?
98. ## Pre algebra

A coin is tossed and a number cube is rolled. What is the probability that the coin shows heads and the number cube shows 6?
99. ## calculus

You are working as assistant to a major movie producer from Hollywood, but mainly you look after pre-release film publicity. You are an old hand at publicity, having worked in several production companies before. Based on previous experience you have
100. ## Pre-Cal

1) Write the first five temrs of the geometric sequence a1 = 2 r=sqrt3 I know the first term is 2 but the sqrt 3 threw me off so I do not know how to find the next numbers. 2) Find the nth term of the geometric sequence. a2 = 3 a5 = 3/64 n=1 I know the